Tables of The Legendre Functions P-½+it(x) (eBook, PDF)

Mathematical Tables Series

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Tables of the Legendre Functions P-¿+it (X), Part I tabulates in detail the Legendre spherical functions of the first kind Pv(x) with complex index v = - ¿ + it and real values of X > - 1. P-¿+it (X) plays an important role in mathematical physics and are used in solving boundary value problems in potential theory for domains bounded by cones, hyperboloids of revolution, two intersecting spheres, or other second order surfaces. These Legendre functions are also of theoretical interest in connection with the Meler-Fok integral expansion. This book is devoted to the tables of P-¿+it (X) and ...

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